1,963 Answered Questions for the topic linear algebra

Linear Algebra Algebra Linear Equations

05/04/21

Linear Equation Word Problem (below)
The sum of Eric’s and Bob’s weights is 9 times the difference of their weights. The positive difference of their weights is also 240 pounds less than the sum. If Eric weighs less than Bob, find... more
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Linear Algebra

05/04/21

Word problem using elimination

The sum of the digits of a three-digit number is 16. The units digit is 2 more than the sum of the other two digits and the tens digit is 5 more than the hundreds digit. What is the number?
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Linear Algebra

05/03/21

Use the function to find the image of v and the preimage of w.
Use the function to find the image of v and the preimage of w. T(v1, v2, v3) = (4v2 − v1, 4v1 + 5v2), v = (3, −4, −1), w = (6, 18)
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Linear Algebra Algebra Linear Equations

05/03/21

Linear Equation Word Problem (below)
A plane traveled 1496 miles to Baltimore and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 17 hours. Find the speed of the plane in... more
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Linear Algebra Math

05/02/21

Find the inverse Laplace Transform of the function
Find the inverse Laplace Transform of:G(s) = (as+b) / (s^2+β^2)
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Linear Algebra

05/02/21

Linear algebra question
Use the function to find the image of v and the preimage of w.T(v1, v2, v3) = (4v2 − v1, 4v1 + 5v2), v = (3, −4, −1), w = (6, 18)
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Linear Algebra

05/02/21

Linear algebra question

Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (−1, 2, 4), T(0, 1, 0) = (−2, 1, 3),and T(0, 0, 1) = (0, 2, −2). Find the indicated image. T(0, 1, −3)
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Linear Algebra Algebra

05/02/21

-4x+y=-5 8x-2y=10 solve by elimination

This is how I worked it:2(-4x+y=-5) = -8x+2y=-108x-2y=10-8x+2y=-10(the x and y cancels each other out, leaving 10 and -10, which are false, so I got no solution)But when I used a calculator, it... more
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Linear Algebra Algebra

05/01/21

-20y-10x=10 -8x-8-16y=0 use elimination to solve it.

For me, I somehow got "no solution" but I know the answer is "infinitely many", I just don't know how to get it. Please help. Thank you.
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04/30/21

Show that B is the inverse of A.
A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ... more
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Linear Algebra Math Calculus Precalculus

04/30/21

Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set y = a and solve for x in terms of a.)
5/6x - y = -184/3x - 7/2y = -44(x,y) = _____
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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form?
Classify the quadratic form below. Then make a change of​ variable, x=Py​, that transforms the quadratic form into one with no​ cross-product terms. Write the new quadratic... more
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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form
Classify the quadratic form below. Then make a change of​ variable, x=Py, that transforms the quadratic form into one with no​ cross-product term. Write the new quadratic form.2x21 + 8x1x2+2x22What... more
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Linear Algebra

04/29/21

Linear Algebra (Vector)
Determine whether or not the set of vectors identified is a subspace of:#1.R3 if U={vectors whose length does not exceed 1} , i.e., U= {(a, b, c): a² + b² + c² ≤1}
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Linear Algebra

04/29/21

Linear Algebra (Vector)
 Tell whether or not W can be written as a linear combination of the vectors in S. If yes, find the values of a , b and c ∈ R.Problem #1.W(-4, 3, 5) and S = { (1, -1, -2), (5, -4, -7), (-3, 1, 0)}
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Linear Algebra

04/29/21

Linear Algebra (Vector)
Determine whether or not the set of vectors identified is a subspace of:#1.     R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.
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Linear Algebra

04/28/21

Linear Algebra: Orthogonal basis additon
Let W = span([-1,3,0], [2,2,1]), and v = [5,1,2]. Write down v as sum of two vectors v1 in W and v2 in W complement
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Linear Algebra Math Algebra 1 Algebra 2

04/27/21

What algebraic expression matches this graph?
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Linear Algebra Math Algebra 1 Algebra 2

04/27/21

What algebraic expression matches this graph?
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Linear Algebra Math Calculus Precalculus

04/23/21

Use a graphing utility to perform the indicated operations.
A = 2 0 and B = 5 3 4 5 1 4B2 − 3B + 7Ɪ2= _____ ______ ______ ______
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Linear Algebra Linear Equations

04/23/21

how do I solve this? 2 (x+3) > 6(x-1)
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Linear Algebra

04/21/21

if the slope is -7. what is the perpendicular slope?

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Linear Algebra

04/21/21

Need help with this proof
Let {~v1, · · · ~vm} ⊂ Rn be a linearly independent set. Let L ∈ Rm×n . Prove that, if null(L) = {~0}, then {L~v1, · · · L~vm} ⊂ Rm is a linearly independent set.
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Linear Algebra

04/20/21

Given an example of a set S with two binary operations such that S is closed under those binary operations but is not a vector space with respect to them.
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Linear Algebra

04/20/21

Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans R3. Is this set linear independent?
Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans . Is this set linear independent?
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